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Red and blue particles are placed in equal proportion through-out either the complete or star graph and iteratively sampled to take simple random walk steps. Mutual annihilation occurs when particles with different colors meet. We compare…

Probability · Mathematics 2021-06-04 Irina Cristali , Yufeng Jiang , Matthew Junge , Remy Kassem , David Sivakoff , Grayson York

In quantum theory, particles in three spatial dimensions come in two different types: bosons or fermions, which exhibit sharply contrasting behaviours due to their different exchange statistics. Could more general forms of probabilistic…

Quantum Physics · Physics 2013-11-05 Oscar C. O. Dahlsten , Andrew J. P. Garner , Jayne Thompson , Mile Gu , Vlatko Vedral

The division by N! in the expression of statistical entropy is usually justified to students by the statement that classical particles should be counted as indistinguishable. Sometimes, quantum indistinguishability is invoked to explain it.…

Statistical Mechanics · Physics 2023-05-24 Sergio Di Matteo

Adopting the frame of mesoscopic physics, we describe a Bell type experiment involving time-delayed two-particle correlation measurements. The indistinguishability of quantum particles results in a specific interference between different…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 A. V. Lebedev , G. Blatter

Wave-particle duality and the superposition of quantum mechanical states furnish quantum mechanics with unique features which distinguishes it from classical mechanics and give it the apparently counter-intuition interpretation. The two…

Quantum Physics · Physics 2020-06-15 Abanoub Mikhail

We introduce geometric measures of entanglement for indistinguishable particles, which apply to mixed states, multipartite systems, and arbitrary dimensions. They are based on generalized (i.e., not necessarily finite) norms on the set of…

Quantum Physics · Physics 2015-07-17 Florian Sokoli , Burkhard Kümmerer

Using tools from quantum information theory, we present a general theory of indistinguishability of identical bosons in experiments consisting of passive linear optics followed by particle number detection. Our results do neither rely on…

Quantum theory reveals astonishing and counterintuitive phenomena not found in classical physics, such as wave-particle duality, where entities like electrons and photons exhibit both wave-like and particle-like behaviors. In this paper, we…

Quantum Physics · Physics 2024-07-03 Daegene Song

Here we discuss a particle-based approach to deal with systems of many identical quantum objects (particles) which never employs labels to mark them. We show that it avoids both methodological problems and drawbacks in the study of quantum…

Quantum Physics · Physics 2018-06-18 Giuseppe Compagno , Alessia Castellini , Rosario Lo Franco

Long-range quantum correlations between particles are usually formulated by assuming the persistence of an entangled state after the particles have spearated. Here this approach is re-examined based upon studying the correlations present in…

Quantum Physics · Physics 2025-04-03 B. C. Sanctuary

We establish a sharp quantum advantage in determining the parity (even/odd) of an unknown permutation applied to any number $n \ge 3$ of particles. Classically, this is impossible with fewer than $n$ labels, being that the success is…

Non-equilibrium states of quantum systems in contact with thermal baths help telling environments with different temperatures or different statistics apart. We extend these studies to a more generic problem that consists in discriminating…

We present a method for describing and characterizing the state of N particles that may be distinguishable in principle but not in practice due to experimental limitations. The technique relies upon a careful treatment of the exchange…

Quantum Physics · Physics 2013-05-29 R. B. A. Adamson , P. S. Turner , M. W. Mitchell , A. M. Steinberg

We establish correspondence between macroscopic thermodynamical quantities and complementarity in wave interference. The well known visibility and predictability in a double slit--like experiment are shown to be connected to magnetic…

Quantum Physics · Physics 2007-05-23 Beatrix C. Hiesmayr , Vlatko Vedral

Disentanglement refers to decoherence that destroys the quantum interference terms between particles as they separate. This process reduces the pure isotropic entangled EPR state to a mixed anisotropic state. Averaging over the ensemble of…

Quantum Physics · Physics 2025-04-04 B. C. Sanctuary

The connection between the intrinsic angular momentum (spin) of particles and the quantum statistics is established by considering the response of identical particles to a common background radiation field. For this purpose, the Hamiltonian…

Quantum Physics · Physics 2025-04-07 Ana María Cetto , Luis de la Peña

A classical particle system coupled with a thermostat driven by an external constant force reaches its steady state when the ensemble-averaged drift velocity does not vary with time. The statistical mechanics of such a system is derived…

Statistical Mechanics · Physics 2020-12-02 Jie Yao , Yanting Wang

This work provides a comprehensive approach to analyze the entanglement between subsystems generated by identical particles, based on the symmetric/exterior algebra (SEA) and microcausality. Our method amends the no-labeling approach (NLA)…

Quantum Physics · Physics 2021-03-08 Seungbeom Chin , Jung-Hoon Chun

The aim of the present paper is to provide a preliminary investigation of the thermodynamics of particles obeying monotone statistics. To render the potential physical applications realistic, we propose a modified scheme called…

Mathematical Physics · Physics 2023-01-27 Fabio Ciolli , Francesco Fidaleo , Chiara Marullo

We discuss counterintuitive aspects of probabilities for systems of identical particles obeying quantum statistics. Quantum coins and children (two level systems) and quantum dice (many level systems) are used as examples. It is emphasized…

Quantum Physics · Physics 2009-10-31 Chi-Keung Chow , Thomas D. Cohen
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